In this paper I attempt a formalization of Descartes’ causal argument for the existence of God presented in the Third Meditation. By taking into account the philosophical setting of Descartes’ Meditations, I argue that the best logical theory to carry out the formalization is quantified modal logic where free logic is used for the first-order axioms. This fact is related to Descartes’ distinction between formal and objective reality which — to my mind — suggests both the adoption of modality (e.g. (...) true in formal vs true in objective reality) and the possibility of using empty names (i.e. names which lack reference in “formal reality”). After presenting the formal system and the reconstruction of Descartes’ proof, I will discuss some issues related to the philosophical import of the formalization, such as the understanding of rigid designation and lack of reference. I will argue that the formalization of Descartes’ argument has an intrinsic philosophical value for it sheds light on the structure of argument, its implicit difficulties, and the use of logic itself to understand the philosophical tradition. (shrink)

In this article I offer an explicating interpretation of the procedure of content recarving as described by Frege in §64 of the Foundations of Arithmetic. I argue that the procedure of content recarving may be interpreted as an operation that while restricting the subject matter of a sentence, performs a generalization on what the sentence says about its subject matter. The characterization of the recarving operation is given in the setting of Yablo’s theory of subject matter and it is based (...) on the relation of determination between properties. The main advantage of the proposal is its generality, for it is applicable not just to the case of abstraction principles. (shrink)

Review of the book "Paraconsistent Logic: Consistency, Contradiction, and Negation by Water Carnielli and Marcelo Coniglio.

The present work is a review of Imaguire's book 'Priority Nominalism'. In the first part I present the fundamental idea of the book along general lines; successively, I report a resume of each chapter and I present in more details the view of the author and the dialectic of his arguments. In the final part, I highlight some strong points of the book and I attempt a formulation of a possible difficulty arising from Imaguire's proposal.